New Characterizations of Riesz-Type Frames and Stability of Alternate Duals of Continuous Frames

被引：3
|
作者：
Xiang, Zhong-Qi [1 ]
机构：
[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2013年 / 2013卷
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1155/2013/298982
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We give new characterizations of Riesz-type frames, on equivalent conditions for a continuous frame to be a Riesz-type frame and on equivalency relations between Riesz-type frames and continuous frames. We characterize also the Riesz-type frames by using a bounded linear operator L. Finally, we study the stability of alternate duals of continuous frames and we prove that if two continuous frames are close to each other, then we can find alternate duals of them which are close to each other.
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页数：11
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